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Finding the Fourth Proportional to 32,003.96, 44,165.40 and 17,855.96

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Solution

The fourth proportional to 32,003.96, 44,165.40 and 17,855.96 is: 24,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.96 : 44,165.40 = 17,855.96 : x
  2. Step 2: Convert to fraction form
    32,003.96/44,165.40 = 17,855.96/x
  3. Step 3: Cross multiply
    32,003.96x = 44,165.40 × 17,855.96
  4. Step 4: Simplify right side
    32,003.96x = 788,615,615.78
  5. Step 5: Solve for x
    x = 788,615,615.78/32,003.96
  6. Step 6: Final answer
    x = 24,641.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.